کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472387 698711 2008 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solutions of linear and nonlinear singular perturbation problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Numerical solutions of linear and nonlinear singular perturbation problems
چکیده انگلیسی

A new method is developed by detecting the boundary layer of the solution of a singular perturbation problem. On the non-boundary layer domain, the singular perturbation problem is dominated by the reduced equation which is solved with standard techniques for initial value problems. While on the boundary layer domain, it is controlled by the singular perturbation. Its numerical solution is provided with finite difference methods, of which up to sixth order methods are developed. The numerical error is maintained at the same level with a constant number of mesh points for a family of singular perturbation problems. Numerical experiments support the analytical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 55, Issue 11, June 2008, Pages 2574–2592
نویسندگان
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